Q 93. - Precalculus Enhanced with Graphing Utilities

Question

If $\sin \theta =\frac{1}{5}$,find $csc \theta$.

Step-by-Step Solution

Answer

The value of $csc \theta =5$.

Step 1, Given information.

Consider the given value $\sin \theta =\frac{1}{5}$.

Step 2. Formula used.

$csc \theta =\frac{1}{\sin \theta }$

Step 3. Finding c s c   θ .

Substitute the value in formula.

$$\begin{gathered} csc \theta =\frac{1}{\sin \theta } \\ csc \theta =\frac{1}{{\displaystyle \frac{1}{5}}} \\ csc \theta =5 \end{gathered}$$